title: Period dependent branching process and its applications in epidemiology.
abstract: In this paper we introduce a new technical development of branching processes that can potentially model spread of epidemics by including various stages of infection. In fact, we present an epidemic model that the disease spreads from an individual to another one in such a way that the ability of individual u to infect a susceptible individual depends only on how long u has been infected. For analysis of this model, we introduce a new and special model of the Crump-Mode-Jagers branching processes in discrete time and obtain some of its fundamental properties.
authors.affiliation: Department of Mathematics, University of Guilan, Rasht, P.O. Box: 1914, Iran. fathi@guilan.ac.ir
authors.forename: Behrouz
authors.initials: B
authors.lastname: Fathi Vajargah
authors.forename: Mojtaba
authors.initials: M
authors.lastname: Moradi
mesh_terms: D000465:Algorithms; D003141:Communicable Diseases / Q000453:epidemiology*; D003198:Computer Simulation; D018562:Disease Transmission, Infectious; D058872:Epidemics; D006801:Humans; D008954:Models, Biological